Given two points X1, X2 6 R. we define the Euclidean distance between them by a function PE : R x Rd -> R defined as: d PE(X1, X2) = (X1,k - X2, k ) 2 k=1 Similarly, we define the taxicab distance pr : Rd x Rd -> R by: d PT(X1, X2) = X1,k - X2,k k=1 Prove that a sequence (Xn) in Rd converges in the taxicab distance iff it converges in the Euclidean distance